20122420032 has 448 divisors, whose sum is σ = 70176664320. Its totient is φ = 5620285440.

The previous prime is 20122419949. The next prime is 20122420033. The reversal of 20122420032 is 23002422102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20122419987 and 20122420014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122420033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29899248 + ... + 29899920.

It is an arithmetic number, because the mean of its divisors is an integer number (156644340).

Almost surely, 2^20122420032 is an apocalyptic number.

20122420032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35088332160).

20122420032 is an abundant number, since it is smaller than the sum of its proper divisors (50054244288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20122420032 is a wasteful number, since it uses less digits than its factorization.

20122420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20122420032 its reverse (23002422102), we get a palindrome (43124842134).

The spelling of 20122420032 in words is "twenty billion, one hundred twenty-two million, four hundred twenty thousand, thirty-two".